Elliptic Curve Cryptography: A Powerful Tool for Secure Communication

Abstract

Elliptic curve cryptography (ECC) is a public-key cryptosystem that leverages the properties of elliptic curves over finite fields. This paper provides an overview of ECC, highlighting its advantages over traditional public-key cryptography based on integer factorization or discrete logarithms. We discuss the key concepts of elliptic curves, point addition, and scalar multiplication, which form the foundation of ECC algorithms. Additionally, we explore the practical applications of ECC in various cryptographic protocols, including digital signatures and secure key exchange